Simplifying Fractions, equivalent fractions answers.#Equivalent #fractions #answers


Simplifying Fractions

To simplify a fraction, divide the top and bottom by the highest number that

can divide into both numbers exactly.

Simplifying Fractions

Simplifying (or reducing) fractions means to make the fraction as simple as possible.

Equivalent fractions answers

Equivalent fractions answers

Equivalent fractions answers

How do I Simplify a Fraction ?

There are two ways to simplify a fraction:

Method 1

Try to evenly divide (only whole number answers) both the top and bottom of the fraction by 2, 3, 5, 7 . etc, until we can’t go any further.

Example: Simplify the fraction 24 108 :

Equivalent fractions answers Equivalent fractions answersEquivalent fractions answers

Equivalent fractions answers Equivalent fractions answersEquivalent fractions answers

That is as far as we can go. The fraction simplifies to 2 9

Example: Simplify the fraction 10 35 :

Dividing by 2 doesn’t work because 35 can’t be evenly divided by 2 (35/2 = 17 )

No need to check 4 (we checked 2 already, and 4 is just 2 2).

But 5 does work!

Equivalent fractions answers

Equivalent fractions answers

That is as far as we can go. The fraction simplifies to 2 7

Notice that after checking 2 we didn’t need to check 4 (4 is 2 2)?

We also don’t need to check 6 when we have checked 2 and 3 (6 is 2×3).

In fact, when checking from smallest to largest we use prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, .

Method 2

Divide both the top and bottom of the fraction by the Greatest Common Factor (you have to work it out first!).

Example: Simplify the fraction 812 :

The largest number that goes exactly into both 8 and 12 is 4, so the Greatest Common Factor is 4.


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